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Finding the Third Proportional to 482,946 and 1,048,920

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Solution

The third proportional to 482,946 and 1,048,920 is: 2,278,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,946 : 1,048,920 = 1,048,920 : x
  2. Step 2: Convert to fraction form
    482,946/1,048,920 = 1,048,920/x
  3. Step 3: Cross multiply
    482,946x = 1,048,920 × 1,048,920
  4. Step 4: Simplify right side
    482,946x = 1,100,233,166,400
  5. Step 5: Solve for x
    x = 1,100,233,166,400/482,946
  6. Step 6: Final answer
    x = 2,278,170.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.